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114255031411305 = 32517365369408773
BaseRepresentation
bin11001111110101000010010…
…100011111010001001101001
3112222112200012120211111221100
4121332220102203322021221
5104433423301020130210
61043000011542032013
733031440121664241
oct3176502243721151
9488480176744840
10114255031411305
1133450317677874
1210993482a18609
134b9a284664b15
14202dd89dacb21
15d320800955c0
hex67ea128fa269

114255031411305 has 48 divisors (see below), whose sum is σ = 209692673957520. Its totient is φ = 57351247908864.

The previous prime is 114255031411277. The next prime is 114255031411337. The reversal of 114255031411305 is 503114130552411.

114255031411305 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 5 + 503 + 14 + 1 + 130 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1433160939609 + 112821870471696 = 1197147^2 + 10621764^2 .

It is not a de Polignac number, because 114255031411305 - 27 = 114255031411177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114255031411305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279302899 + ... + 279711671.

It is an arithmetic number, because the mean of its divisors is an integer number (4368597374115).

Almost surely, 2114255031411305 is an apocalyptic number.

114255031411305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114255031411305 is a deficient number, since it is larger than the sum of its proper divisors (95437642546215).

114255031411305 is a wasteful number, since it uses less digits than its factorization.

114255031411305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774170 (or 774167 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 114255031411305 its reverse (503114130552411), we get a palindrome (617369161963716).

The spelling of 114255031411305 in words is "one hundred fourteen trillion, two hundred fifty-five billion, thirty-one million, four hundred eleven thousand, three hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 365369 408773 1096107 1226319 1826845 2043865 3288321 3678957 5480535 6131595 6211273 6949141 16441605 18394785 18633819 20847423 31056365 34745705 55901457 62542269 93169095 104237115 279507285 312711345 149352982237 448058946711 746764911185 1344176840133 2240294733555 2539000698029 6720884200665 7617002094087 12695003490145 22851006282261 38085010470435 114255031411305